References
- R. B. Ash, Complex variables, Academic Press, New York, 1971.
- A. Baernstein, Proof of Edrei's spread conjecture, Proc. London Math. Soc. (3) 26 (1973), 418-434.
- I. N. Baker, Sets of non-normality in iteration theory, J. London Math. Soc. 40 (1965), 499-502.
- W. Bergweiler, Iteration of meromorphic functions, Bull. Amer. Math. Soc. (N.S.) 29 (1993), no. 2, 151-188. https://doi.org/10.1090/S0273-0979-1993-00432-4
- C. T. Chuang, On Borel directions of meromorphic functions of infinite order II, Bull. Hong Kong Math. Soc. 2 (1999), no. 2, 305-323.
- A. A. Gol'dberg and I. V. Ostrovskii, Value distribution of meromorphic function, in: AMS Translations of Mathematical Monographs Series, 2008.
- W. Hayman, Meromorphic Functions, Clarendon Press, Oxford 1964.
-
Z. Huang and J. Wang, On the radial distribution of Julia sets of entire solutions of
$f^-(n)}\;+\;A(z)f\;=\;0$ , J. Math. Anal. Appl. 387 (2012), no. 2, 1106-1113. https://doi.org/10.1016/j.jmaa.2011.10.016 - Z. Huang and J. Wang, On limit directions of Julia sets of entire solutions of linear differential equations, J. Math. Anal. Appl. 409 (2014), no. 1, 478-484. https://doi.org/10.1016/j.jmaa.2013.07.026
- Z. Huang and J. Wang, The radial oscillation of entire solutions of complex differential equations, J. Math. Anal. Appl. 431 (2015), no. 2, 988-999. https://doi.org/10.1016/j.jmaa.2015.06.021
- I. Laine, Nevanlinna Theory and Complex Differential Equations, Walter de Gruyter, Berlin, 1993.
- L. W. Liao and Z. Ye, On solutions to nonhomogeneous algebraic differential equations and their application, J. Aust. Math. Soc. 97 (2014), no. 3, 391-403. https://doi.org/10.1017/S1446788714000305
- H. Milloux, Sur les directions de Borel des fonctions entieres, de leurs derivees et de leurs integrales, J. Anal. Math. 1 (1951), 244-330. https://doi.org/10.1007/BF02790091
- J. Qiao, On limiting directions of Julia set, Ann. Acad. Sci. Fenn. Math. 26 (2001), no. 2, 391-399.
- L. Qiu and S. J. Wu, Radial distributions of Julia sets of meromorphic functions, J. Aust. Math. Soc. 81 (2006), no. 3, 363-368. https://doi.org/10.1017/S1446788700014361
- D. C. Sun, Common Borel directions of meromorphic functions of infinite order and its derivatives, Acta Math. Sinica 30 (1987), no. 5, 641-647.
- G. Valiron, Recherches sur le theoreme de M. Borel dans la theorie des fonctions meromorphes, Acta Math. 52 (1928), 67-92.
- S. Wang, On radial distributions of Julia sets of meromorphic functions, Taiwanese J. Math. 11 (2007), no. 5, 1301-1313. https://doi.org/10.11650/twjm/1500404865
- S. J. Wu, Angular distribution in complex oscillation theory, Sci. China Ser. 48 (2005), no. 1, 107-114.
- C. C. Yang and H. X. Yi, Uniqueness Theory of Meromorphic Functions, Kluwer Academic Publishers, Dordrecht, 2003.
- L. Yang, Borel directions of meromorphic functions in an angular domain, Sci. China Math. Ser. 1 (1979), 149-163.
- L. Yang, Value distribution theory, Springer-Verlag, Berlin, 1993.
- G. W. Zhang, J. Ding, and L. Z. Yang, Radial distribution of Julia sets of derivatives of solutions of complex linear differential equations, Sci. Sin. Math. 44 (2014), 693-700. https://doi.org/10.1360/012014-32
- G. W. Zhang and L. Z. Yang, On radial distributions of Julia sets of Newton's method of solutions of complex differential equations, Proc. Japan Acad. Ser. A Math. Sci. 92 (2016), no. 1, 1-6. https://doi.org/10.3792/pjaa.92.1
- J. H. Zheng, Dynamics of Meromorphic Functions, Tsinghua University Press, Beijing, 2006.
- J. H. Zheng, S. Wang, and Z. Huang, Some properties of Fatou and Julia sets of transcendental meromorphic functions, Bull. Aust. Math. Soc. 66 (2002), no. 1, 1-8. https://doi.org/10.1017/S000497270002061X